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Finding the Fourth Proportional to 777.16, 1,164.38 and 648

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Solution

The fourth proportional to 777.16, 1,164.38 and 648 is: 970.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.16 : 1,164.38 = 648 : x
  2. Step 2: Convert to fraction form
    777.16/1,164.38 = 648/x
  3. Step 3: Cross multiply
    777.16x = 1,164.38 × 648
  4. Step 4: Simplify right side
    777.16x = 754,518.24
  5. Step 5: Solve for x
    x = 754,518.24/777.16
  6. Step 6: Final answer
    x = 970.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.